If the first term of a $G.P.$ be $5$ and common ratio be $ - 5$, then which term is $3125$

Let $\mathrm{a}$ and $\mathrm{b}$ be be two distinct positive real numbers. Let $11^{\text {th }}$ term of a $GP$, whose first term is $a$ and third term is $b$, is equal to $p^{\text {th }}$ term of another $GP$, whose first term is $a$ and fifth term is $b$. Then $\mathrm{p}$ is equal to

What will $Rs.$ $500$ amounts to in $10$ years after its deposit in a bank which pays annual interest rate of $10 \%$ compounded annually?

If the sum of three terms of $G.P.$ is $19$ and product is $216$, then the common ratio of the series is

If $x,\;y,\;z$ are in $G.P.$ and ${a^x} = {b^y} = {c^z}$, then

The G.M. of the numbers $3,\,{3^2},\,{3^3},\,......,\,{3^n}$ is